Abstract
Since functional equations arise in virtually every area of mathematics, both pure and applied, it is not surprising that the study of such equations can lead to useful results. For example, in the cosmological theory of Milne (now slowly coming back into favour as a subject of investigation after some years of neglect) it is necessary to correlate signals exchanged between different “observers”. To effect such correlation, one must be able to find iterative square roots of certain functions, where an iterative square root of a function g is a function f such that f(f(x))=g(x) for all x in the domain of g.
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